Vacuum energy density from the form factor bootstrap by André LeClair

Subjects: “…Integrable Field Theories…”
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On Ruijsenaars-Schneider spectrum from superconformal indices and ramified instantons by Hee-Cheol Kim, Anton Nedelin, Shlomo S. Razamat

Subjects: “…Integrable Hierarchies…”
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Exact solution of a quantum integrable system associated with the G2 exceptional Lie algebra by Guang-Liang Li, Junpeng Cao, Pei Sun, Wen-Li Yang, Kangjie Shi, Yupeng Wang

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Finite volume expectation values in the sine-Gordon model by Árpád Hegedűs

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Zero-dispersion limit for integrable equations on the half-line with linearisable data by A. S. Fokas, S. Kamvissis

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Projective structure and integrable geodesic flows on the extension of Bott-Virasoro group by Partha Guha

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A Complete Normed Space of a Class of Guage Integrable Functions by Yassin Alzubaidi

“…The space of all gauge integrable functions equipped with the Alexiewicz norm is not a Banach space. …”
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The Breather-Like and Rational Solutions for the Integrable Kadomtsev-Petviashvili-Based System by Chuanjian Wang, Zhengde Dai, Changfu Liu

“…The integrable Kadomtsev-Petviashvili-based system is studied. …”
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Convergence of Locally Square Integrable Martingales to a Continuous Local Martingale by Andriy Yurachkivsky

“…Let for each 𝑛∈ℕ𝑋𝑛 be an ℝ𝑑-valued locally square integrable martingale w.r.t. a filtration (ℱ𝑛(𝑡),𝑡∈ℝ+) (probability spaces may be different for different 𝑛). …”
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Various Half-Eigenvalues of Scalar p-Laplacian with Indefinite Integrable Weights by Wei Li, Ping Yan

“…t∈[0,1], where 1<p<∞, ϕp(x)=|x|p−2x, x±(⋅)=max⁡{±x(⋅), 0} for x∈&#x1D49E;0:=C([0,1],ℝ), and a(t) and b(t) are indefinite integrable weights in the Lebesgue space ℒγ:=Lγ([0,1],ℝ),1≤γ≤∞. …”
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Nonoscillatory Solutions of Second-Order Superlinear Dynamic Equations with Integrable Coefficients by Quanwen Lin, Baoguo Jia

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Topological Dual Systems for Spaces of Vector Measure p-Integrable Functions by P. Rueda, E. A. Sánchez Pérez

“…Our results open the door to new convergence theorems and tools regarding summability of series of integrable functions and approximation in function spaces, since we may find infinite dimensional spaces in which convergence of the integrals, our vector valued version of convergence in the weak topology, is equivalent to the convergence with respect to the norm. …”
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The Use of an Isometric Isomorphism on the Completion of the Space of Henstock-Kurzweil Integrable Functions by Luis Ángel Gutiérrez Méndez, Juan Alberto Escamilla Reyna, Francisco Javier Mendoza Torres, María Guadalupe Morales Macías

“…Employing an isometrically isomorphic space, we determine new properties for the completion of the space of the Henstock-Kurzweil integrable functions with the Alexiewicz norm.…”
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Integrable formulation of the OPE coefficients in the UV limit of the sine-Gordon model by Árpád Hegedűs

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A Riesz Representation Theorem for the Space of Henstock Integrable Vector-Valued Functions by Tomás Pérez Becerra, Juan Alberto Escamilla Reyna, Daniela Rodríguez Tzompantzi, Jose Jacobo Oliveros Oliveros, Khaing Khaing Aye

“…Using a bounded bilinear operator, we define the Henstock-Stieltjes integral for vector-valued functions; we prove some integration by parts theorems for Henstock integral and a Riesz-type theorem which provides an alternative proof of the representation theorem for real functions proved by Alexiewicz.…”
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Geometric Methods to Investigate Prolongation Structures for Differential Systems with Applications to Integrable Systems by Paul Bracken

“…They are based on a set of one forms for which the underlying structure group of the integrability condition corresponds to the Lie algebra of , , and . …”
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The Closed Graph Theorem and the Space of Henstock-Kurzweil Integrable Functions with the Alexiewicz Norm by Luis Ángel Gutiérrez Méndez, Juan Alberto Escamilla Reyna, Maria Guadalupe Raggi Cárdenas, Juan Francisco Estrada García

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Bi-Integrable Couplings of a New Soliton Hierarchy Associated with SO(4) by Yan Cao, Liangyun Chen, Baiying He

“…Based on the six-dimensional real special orthogonal Lie algebra SO(4), a new Lax integrable hierarchy is obtained by constructing an isospectral problem. …”
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CTE Solvability, Nonlocal Symmetry, and Interaction Solutions of Coupled Integrable Dispersionless System by Jun Yu, Bo Ren, Ping Liu, Jia-Li Zhou

“…The consistent tanh expansion (CTE) method is successfully applied to the coupled integrable dispersionless (CID) system. A nonauto-Bäcklund transformation (BT) theorem includes two fields f and v1 is obtained by using the CTE method. …”
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Optical wave features and sensitivity analysis of a coupled fractional integrable system by Jan Muhammad, Usman Younas, D.K. Almutairi, Aziz Khan, Thabet Abdeljawad

Subjects: “…Generalized multivariate exponential rational integral function technique…”
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